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Finding the Fourth Proportional to 119.46, 164.91 and 78.02

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Solution

The fourth proportional to 119.46, 164.91 and 78.02 is: 107.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    119.46 : 164.91 = 78.02 : x
  2. Step 2: Convert to fraction form
    119.46/164.91 = 78.02/x
  3. Step 3: Cross multiply
    119.46x = 164.91 × 78.02
  4. Step 4: Simplify right side
    119.46x = 12,865.45
  5. Step 5: Solve for x
    x = 12,865.45/119.46
  6. Step 6: Final answer
    x = 107.70

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.